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关于比较斜率不等的回归线。

On comparing regression lines with unequal slopes.

作者信息

Zerbe G O, Archer P G, Banchero N, Lechner A J

出版信息

Am J Physiol. 1982 Mar;242(3):R178-80. doi: 10.1152/ajpregu.1982.242.3.R178.

Abstract

For the situation in which the slopes of two regression lines may differ, procedures are discussed for the comparison of the lines at a single X, simultaneous comparison at several values of X, and determination of the range of X for which the difference between the lines is large enough to be statistically significant. These useful procedures have previously been discussed but do not seem to be well known. Their usefulness in the analysis of physiological data is demonstrated with data arising from a study of pulmonary response to hypoxia.

摘要

对于两条回归线斜率可能不同的情况,讨论了在单个X处比较回归线、在多个X值处同时比较以及确定X的范围(在此范围内两条线之间的差异大到具有统计学显著性)的方法。这些有用的方法此前已有讨论,但似乎并不广为人知。通过一项关于肺部对低氧反应的研究数据,证明了它们在生理数据分析中的实用性。

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